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Volumn 43, Issue 4, 2009, Pages 545-557

The role of weakly imposed Dirichlet boundary conditions for numerically stable computations of swelling phenomena

Author keywords

Charged hydrated materials; Finite deformations; Swelling porous media; TPM; Weakly fulfilled Dirichlet boundary conditions

Indexed keywords

BOUNDARY CONDITIONS; HYDRATION; NUMERICAL METHODS; POROUS MATERIALS;

EID: 59449089319     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-008-0329-4     Document Type: Article
Times cited : (9)

References (47)
  • 1
    • 59449088879 scopus 로고    scopus 로고
    • Modelling of swelling phenomena in charged hydrated porous media
    • A Acartürk W Ehlers I Abbas 2004 Modelling of swelling phenomena in charged hydrated porous media PAMM 4 296 297
    • (2004) PAMM , vol.4 , pp. 296-297
    • Acartürk, A.1    Ehlers, W.2    Abbas, I.3
  • 4
    • 0003315095 scopus 로고
    • Theorie der mehrkomponentenkontinua mit anwendungen auf bodenmechanische probleme
    • Universität-GH-Essen
    • de Boer R, Ehlers W (1986) Theorie der Mehrkomponentenkontinua mit Anwendungen auf bodenmechanische Probleme. Forschungsberichte aus dem Fachbereich Bauwesen Heft 40, Universität-GH-Essen
    • (1986) Forschungsberichte Aus Dem Fachbereich Bauwesen Heft 40
    • De Boer, R.1    Ehlers, W.2
  • 6
    • 0019148092 scopus 로고
    • Incompressible porous media models by use of the theory of mixtures
    • RM Bowen 1980 Incompressible porous media models by use of the theory of mixtures Int J Eng Sci 18 1129 1148
    • (1980) Int J Eng Sci , vol.18 , pp. 1129-1148
    • Bowen, R.M.1
  • 8
    • 0000212520 scopus 로고
    • Theorie der Membrangleichgewichte und Membranpotentiale bei Vorhandensein von nicht dialysierenden Elektrolyten. Ein Beitrag zur physikalisch-chemischen Physiologie
    • FG Donnan 1911 Theorie der Membrangleichgewichte und Membranpotentiale bei Vorhandensein von nicht dialysierenden Elektrolyten. Ein Beitrag zur physikalisch-chemischen Physiologie Zeitschrift für Elektrochemie und Angewandte Physikalische Chemie 17 572 581
    • (1911) Zeitschrift für Elektrochemie und Angewandte Physikalische Chemie , vol.17 , pp. 572-581
    • Donnan, F.G.1
  • 9
    • 0034965813 scopus 로고    scopus 로고
    • Modeling of fluid-structure interaction
    • EH Dowell KC Hall 2001 Modeling of fluid-structure interaction Ann Rev Fluid Mech 33 445 490
    • (2001) Ann Rev Fluid Mech , vol.33 , pp. 445-490
    • Dowell, E.H.1    Hall, K.C.2
  • 10
    • 0003365292 scopus 로고
    • Poröse medien-ein kontinuumsmechanisches modell auf der basis der mischungstheorie
    • Universität-GH-Essen
    • Ehlers W (1989) Poröse Medien-ein kontinuumsmechanisches Modell auf der Basis der Mischungstheorie. Forschungsberichte aus dem Fachbereich Bauwesen, Heft 47, Universität-GH-Essen
    • (1989) Forschungsberichte Aus Dem Fachbereich Bauwesen , vol.47
    • Ehlers, W.1
  • 12
    • 0032321884 scopus 로고    scopus 로고
    • Finite elastic deformations in liquid-saturated and empty porous solids
    • W Ehlers G Eipper 1999 Finite elastic deformations in liquid-saturated and empty porous solids Transp Porous Media 34 179 191
    • (1999) Transp Porous Media , vol.34 , pp. 179-191
    • Ehlers, W.1    Eipper, G.2
  • 13
    • 0001103304 scopus 로고    scopus 로고
    • Theoretical and numerical methods in environmental continuum mechanics based on the theory of porous media
    • Environmental Geomechanics. Springer, Wien, Schrefler BA (ed)
    • Ehlers W, Ellsiepen P (2001) Theoretical and numerical methods in environmental continuum mechanics based on the Theory of Porous Media. In: Schrefler BA (ed) Environmental geomechanics. Springer, Wien, CISM Courses and Lectures No. 417, pp 1-81
    • (2001) CISM Courses and Lectures No. 417 , pp. 1-81
    • Ehlers, W.1    Ellsiepen, P.2
  • 14
    • 33745739054 scopus 로고    scopus 로고
    • A porous media model describing the inhomogeneous behaviour of the human intervertebral disc
    • W Ehlers N Karajan B Markert 2006 A porous media model describing the inhomogeneous behaviour of the human intervertebral disc Materialwissenschaften und Wekstofftechnik 37 546 551
    • (2006) Materialwissenschaften und Wekstofftechnik , vol.37 , pp. 546-551
    • Ehlers, W.1    Karajan, N.2    Markert, B.3
  • 15
    • 67349201415 scopus 로고    scopus 로고
    • An extended biphasic model for charged hydrated tissues with application to the intervertebral disc
    • doi: 10.1007/s10237-008-0129-y
    • Ehlers W, Karajan N, Markert B (2008) An extended biphasic model for charged hydrated tissues with application to the intervertebral disc. Biomech Model Mechanobiol. doi: 10.1007/s10237-008-0129-y
    • (2008) Biomech Model Mechanobiol.
    • Ehlers, W.1    Karajan, N.2    Markert, B.3
  • 18
    • 0019075858 scopus 로고
    • Staggered transient analysis procedures for coupled mechanical systems: Formulation
    • CA Felippa KC Park 1980 Staggered transient analysis procedures for coupled mechanical systems: formulation Comput Methods Appl Mech Eng 24 61 111
    • (1980) Comput Methods Appl Mech Eng , vol.24 , pp. 61-111
    • Felippa, C.A.1    Park, K.C.2
  • 20
    • 0031357213 scopus 로고    scopus 로고
    • A validation of the quadriphasic mixture theory for intervertebral disc tissue
    • AJH Frijns JM Huyghe JD Janssen 1997 A validation of the quadriphasic mixture theory for intervertebral disc tissue Int J Eng Sci 35 1419 1429
    • (1997) Int J Eng Sci , vol.35 , pp. 1419-1429
    • Frijns, A.J.H.1    Huyghe, J.M.2    Janssen, J.D.3
  • 21
    • 0036975882 scopus 로고    scopus 로고
    • Numerical simulation of deformations and electrical potentials in a cartilage substitute
    • AJH Frijns JM Huyghe EF Kaasschieter MW Wijlaars 2003 Numerical simulation of deformations and electrical potentials in a cartilage substitute Biorheology 40 123 131
    • (2003) Biorheology , vol.40 , pp. 123-131
    • Frijns, A.J.H.1    Huyghe, J.M.2    Kaasschieter, E.F.3    Wijlaars, M.W.4
  • 22
    • 0031060066 scopus 로고    scopus 로고
    • A triphasic analysis of negative osmotic flows through charged hydrated soft tissues
    • WY Gu WM Lai VC Mow 1997 A triphasic analysis of negative osmotic flows through charged hydrated soft tissues J Biomech 30 71 78
    • (1997) J Biomech , vol.30 , pp. 71-78
    • Gu, W.Y.1    Lai, W.M.2    Mow, V.C.3
  • 23
    • 0029138284 scopus 로고
    • Lagrangian incompressible flow computations in three dimensions by use of space-time finite elements
    • P Hansbo 1995 Lagrangian incompressible flow computations in three dimensions by use of space-time finite elements Int J Numer Methods Fluids 20 989 1001
    • (1995) Int J Numer Methods Fluids , vol.20 , pp. 989-1001
    • Hansbo, P.1
  • 24
    • 0242406031 scopus 로고    scopus 로고
    • Nitsche's method for coupling non-matching meshes in fluid-structure vibration problems
    • P Hansbo J Hermansson 2003 Nitsche's method for coupling non-matching meshes in fluid-structure vibration problems Comput Mech 32 134 139
    • (2003) Comput Mech , vol.32 , pp. 134-139
    • Hansbo, P.1    Hermansson, J.2
  • 25
    • 17144456156 scopus 로고
    • An arbitrary Lagrangian-Eulerian computing method for all flow speeds
    • CW Hirt AA Amsden JL Cook 1974 An arbitrary Lagrangian-Eulerian computing method for all flow speeds J Comput Phys 14 227 253
    • (1974) J Comput Phys , vol.14 , pp. 227-253
    • Hirt, C.W.1    Amsden, A.A.2    Cook, J.L.3
  • 26
    • 0000000787 scopus 로고
    • A Lagrangian method for calculating the dynamics of an incompressible fluid with free surface
    • CW Hirt JL Cook TD Butler 1970 A Lagrangian method for calculating the dynamics of an incompressible fluid with free surface J Comput Phys 5 103 124
    • (1970) J Comput Phys , vol.5 , pp. 103-124
    • Hirt, C.W.1    Cook, J.L.2    Butler, T.D.3
  • 27
    • 0031150114 scopus 로고    scopus 로고
    • Quadriphasic mechanics of swelling incompressible porous media
    • JM Huyghe JD Janssen 1997 Quadriphasic mechanics of swelling incompressible porous media Int J Eng Sci 35 793 802
    • (1997) Int J Eng Sci , vol.35 , pp. 793-802
    • Huyghe, J.M.1    Janssen, J.D.2
  • 28
  • 29
    • 0026203776 scopus 로고
    • A triphasic theory for the swelling and deformation behaviours of articular cartilage
    • WM Lai JS Hou VC Mow 1991 A triphasic theory for the swelling and deformation behaviours of articular cartilage ASME J Biomech Eng 113 245 258
    • (1991) ASME J Biomech Eng , vol.113 , pp. 245-258
    • Lai, W.M.1    Hou, J.S.2    Mow, V.C.3
  • 30
    • 0033804688 scopus 로고    scopus 로고
    • On the electric potentials inside a charged soft hydrated biological tissue: Streaming potential vs. diffusion potential
    • WM Lai VC Mow DD Sun GA Ateshian 2000 On the electric potentials inside a charged soft hydrated biological tissue: Streaming potential vs. diffusion potential ASME J Biomech Eng 122 336 346
    • (2000) ASME J Biomech Eng , vol.122 , pp. 336-346
    • Lai, W.M.1    Mow, V.C.2    Sun, D.D.3    Ateshian, G.A.4
  • 31
    • 0023063121 scopus 로고
    • Biorheology and fluidflux in swelling tissues. I. Bicomponent theory for small deformations, including concentration effects
    • Y Lanir 1987 Biorheology and fluidflux in swelling tissues. I. Bicomponent theory for small deformations, including concentration effects Biorheology 24 173 187
    • (1987) Biorheology , vol.24 , pp. 173-187
    • Lanir, Y.1
  • 33
    • 0032338380 scopus 로고    scopus 로고
    • Effects of fixed charges on the stress-relaxation behavior of hydrated soft tissues in a confined compression problem
    • VC Mow GA Ateshian WM Lai WY Gu 1998 Effects of fixed charges on the stress-relaxation behavior of hydrated soft tissues in a confined compression problem Int J Solids Struct 35 4945 4962
    • (1998) Int J Solids Struct , vol.35 , pp. 4945-4962
    • Mow, V.C.1    Ateshian, G.A.2    Lai, W.M.3    Gu, W.Y.4
  • 34
    • 0018983548 scopus 로고
    • Biphasic creep and relaxation of articular cartilage in compression: Theory and experiments
    • VC Mow SC Kuei WM Lai CG Armstrong 1980 Biphasic creep and relaxation of articular cartilage in compression: theory and experiments ASME J Biomech Eng 102 73 84
    • (1980) ASME J Biomech Eng , vol.102 , pp. 73-84
    • Mow, V.C.1    Kuei, S.C.2    Lai, W.M.3    Armstrong, C.G.4
  • 35
    • 0002869624 scopus 로고    scopus 로고
    • Structure and function of articular cartilage and meniscus
    • 2 Lippincott-Raven Philadelphia
    • Mow VC, Ratcliffe A (1997) Structure and function of articular cartilage and meniscus. In: Mow VC, Hayes WC(eds) Basic orthopaedic biomechanics, 2nd edn. Lippincott-Raven, Philadelphia, pp 113-176
    • (1997) Basic Orthopaedic Biomechanics , pp. 113-176
    • Mow, V.C.1    Ratcliffe, A.2    Mow, V.C.3    Hayes, W.C.4
  • 36
    • 0032582872 scopus 로고    scopus 로고
    • Lagrangian finite element analysis of newtonian fluid flows
    • R Radovitzky M Ortiz 1998 Lagrangian finite element analysis of newtonian fluid flows Int J Numer Methods Eng 43 607 619
    • (1998) Int J Numer Methods Eng , vol.43 , pp. 607-619
    • Radovitzky, R.1    Ortiz, M.2
  • 37
    • 0023127822 scopus 로고
    • Lagrangian finite element analysis applied to viscous free surface fluid flow
    • B Ramaswamy M Kawahara 1987 Lagrangian finite element analysis applied to viscous free surface fluid flow Int J Numer Methods Fluids 7 953 984
    • (1987) Int J Numer Methods Fluids , vol.7 , pp. 953-984
    • Ramaswamy, B.1    Kawahara, M.2
  • 38
    • 0033489545 scopus 로고    scopus 로고
    • Direct numerical simulation of free-surface and interfacial flow
    • R Scardovelli S Zaleski 1999 Direct numerical simulation of free-surface and interfacial flow Ann Rev Fluid Mech 31 567 603
    • (1999) Ann Rev Fluid Mech , vol.31 , pp. 567-603
    • Scardovelli, R.1    Zaleski, S.2
  • 40
    • 0000779366 scopus 로고    scopus 로고
    • A mixed finite element formulation of triphasic mechano-electrochemical theory for charged, hydrated biological soft tissues
    • DN Sun WY Gu XE Guo WMLVC Mow 1999 A mixed finite element formulation of triphasic mechano-electrochemical theory for charged, hydrated biological soft tissues Int J Numer Methods Eng 45 1375 1402
    • (1999) Int J Numer Methods Eng , vol.45 , pp. 1375-1402
    • Sun, D.N.1    Gu, W.Y.2    Guo, X.E.3    Wmlvc, M.4
  • 41
    • 0035599464 scopus 로고    scopus 로고
    • Finite element methods for flow problems with moving boundaries and interfaces
    • TE Tezduyar 2001 Finite element methods for flow problems with moving boundaries and interfaces Arch Comput Methods Eng 8 83 130
    • (2001) Arch Comput Methods Eng , vol.8 , pp. 83-130
    • Tezduyar, T.E.1
  • 43
    • 33750291166 scopus 로고    scopus 로고
    • A strong coupling partitioned approach for fluid-structure interaction with free surfaces
    • WA Wall S Genkinger E Ramm 2007 A strong coupling partitioned approach for fluid-structure interaction with free surfaces Comput Fluids 36 169 183
    • (2007) Comput Fluids , vol.36 , pp. 169-183
    • Wall, W.A.1    Genkinger, S.2    Ramm, E.3
  • 44
    • 16244382838 scopus 로고    scopus 로고
    • A comparison between mechano-electrochemical and biphasic swelling theories for soft hydrated tissue
    • W Wilson CC van Donkelaar JM Huyghe 2005 A comparison between mechano-electrochemical and biphasic swelling theories for soft hydrated tissue ASME J Biomech Eng 127 158 165
    • (2005) ASME J Biomech Eng , vol.127 , pp. 158-165
    • Wilson, W.1    Van Donkelaar, C.C.2    Huyghe, J.M.3


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